Analyticity of the Ising susceptibility: An interpretation

Abstract

We discuss the implications of studies of partition function zeros and equimodular curves for the analytic properties of the Ising model on a square lattice in a magnetic field. In particular we consider the dense set of singularities in the susceptibility of the Ising model at H=0 found by Nickel and its relation to the analyticity of the field theory computations of Fonseca and Zamolodchikov.

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